-7w-21=-2(w-2)

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Solution for -7w-21=-2(w-2) equation:


Simplifying
-7w + -21 = -2(w + -2)

Reorder the terms:
-21 + -7w = -2(w + -2)

Reorder the terms:
-21 + -7w = -2(-2 + w)
-21 + -7w = (-2 * -2 + w * -2)
-21 + -7w = (4 + -2w)

Solving
-21 + -7w = 4 + -2w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '2w' to each side of the equation.
-21 + -7w + 2w = 4 + -2w + 2w

Combine like terms: -7w + 2w = -5w
-21 + -5w = 4 + -2w + 2w

Combine like terms: -2w + 2w = 0
-21 + -5w = 4 + 0
-21 + -5w = 4

Add '21' to each side of the equation.
-21 + 21 + -5w = 4 + 21

Combine like terms: -21 + 21 = 0
0 + -5w = 4 + 21
-5w = 4 + 21

Combine like terms: 4 + 21 = 25
-5w = 25

Divide each side by '-5'.
w = -5

Simplifying
w = -5

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